Actually the normal distribution is the sub form of Gaussian distribution.
Gaussian distribution have 2 parameters, mean and variance.
When there is zero mean and unit variance the Gaussian distribution becomes normal other wise it is pronounced as Gaussian.
Wrong! The standard normal distribution has mean 0 and variance 1, but a normal distribution is the same as the Gaussiand, and can have any mean and variance. Google stackexcange "what-is-the-difference-between-a-normal-and-a-gaussian-distribution"
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A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.
The standard normal distribution is a normal distribution with mean 0 and variance 1.
The mean is 0 and the variance is 1. This need not be the case in any other Normal (Gaussian) distribution.
Suppose you could call it the Gaussian Distribution or the Laplace-Gauss (not to be confused with the Laplace distribution which takes an absolute difference from the mean rather than a squared error)... however the Brits had no one to name this distribution after (not the German and French names) and because it is the ubiquitous distribution they just called it... well the NORMAL!!